
The first term in the second line demonstrates that, when \(ur_{c}\)  is sufficiently small, the stabilized model is a small deformation of an unstabilized Randall-Sundrum I model [1]}, [2]}. Because we intend to work in the \(ur_{c}\rightarrow 0\)  limit, we will eliminate the actual warp parameter \(k\)  in favor of the effective warp parameter,
\(\tilde{k}\equiv k - \phi _{1}^{2}u/24~,\) 
